U-tiling: UQC3251
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2448 |
*222222 |
(2,8,7) |
{6,3} |
{4.8.4.4.4.4}{4.4.8} |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
False
|
|
sqc8713
|
|
Cmma |
67 |
orthorhombic |
{3,6} |
16 |
(2,8) |
|
G
|
False
|
|
sqc8704
|
|
C2/c |
15 |
monoclinic |
{3,3,6,6} |
16 |
(4,9) |
|
D
|
False
|
|
sqc8878
|
|
Imma |
74 |
orthorhombic |
{3,6} |
16 |
(2,8) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.8.4.4.4.4}{4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.2:144:37 38 75 76 7 8 99 100 83 84 49 50 33 34 53 54 55 56 111 112 25 26 135 136 119 120 67 68 71 72 129 130 43 44 117 118 137 138 69 70 93 94 61 62 81 82 101 102 127 128 79 80 139 140 123 124 143 144 109 110 97 98 121 122 141 142 125 126 115 116 133 134,3 6 5 9 18 11 13 15 17 21 24 23 27 36 29 31 33 35 39 42 41 45 54 47 49 51 53 57 60 59 63 72 65 67 69 71 75 78 77 81 90 83 85 87 89 93 96 95 99 108 101 103 105 107 111 114 113 117 126 119 121 123 125 129 132 131 135 144 137 139 141 143,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144:4 4 8 4 4 4 4 4 4 8 4 4 4 4 4 4,3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6> {(0, 39): 'tau3^-1*t2', (0, 126): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 124): 't2*tau3^-1*t1^-1*tau2*t3', (0, 8): 't3', (0, 53): 't1', (0, 62): 't3^-1', (0, 20): 'tau3*t2^-1', (0, 55): 't1', (0, 45): 't2^-1', (0, 109): 't2*tau3^-1*t1^-1*tau2*t3', (0, 3): 'tau2^-1*t3^-1', (0, 140): 'tau1', (0, 57): 'tau2*t3', (0, 34): 't1^-1', (0, 142): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 123): 'tau1^-1', (0, 36): 't1', (0, 26): 't2', (0, 125): 't2*tau3^-1*t1^-1*tau2*t3', (0, 38): 'tau3^-1*t2', (0, 9): 't3', (0, 63): 't3^-1', (0, 108): 't2*tau3^-1*t1^-1*tau2*t3', (0, 21): 'tau3*t2^-1', (0, 52): 't1', (0, 127): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 141): 'tau1', (0, 54): 't1', (0, 35): 't1^-1', (0, 44): 't2^-1', (0, 2): 'tau2^-1*t3^-1', (0, 143): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 56): 'tau2*t3', (0, 37): 't1', (0, 27): 't2', (0, 122): 'tau1^-1', }